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Name ________________________________________ Date __________________ Class __________________ LESSON 4-1 Angles Formed by Intersecting Lines Practice and Problem Solving: Modified Use the terms and the diagrams below to answer Problems 1–4. Notice that more than one term can be used for some questions. The first one is done for you. Terms: linear pair supplementary angles complementary angles right angle vertical angles complementary angles and adjacent angles. 1. ∠5 and ∠6 are ___________________________ 2. ∠1 and ∠3 are __________________________________. 3. ∠1 and ∠2 are __________________________________ and __________________________________. 4. ∠FGK is a ______________________________________. Use the diagrams above to answer these questions. The first one is done for you. 90° 5. The measure of ∠FGK is ________. 6. If ∠5 is 70°, then the measure of ∠6 is ________. 7. If ∠2 is 140°, then the measure of ∠1 is ________ and the measure of ∠4 is _________. In an equilateral triangle, all three sides have equal lengths and all three angles have equal measures. Find the measure of the following angles. The first one is done for you. 120° 8. supplement of ∠A _________ 9. complement of ∠A _________ Draw your answer in the space provided. The first one is done for you. 10. Sketch ∠1 and ∠2 so that they are vertical. 11. Sketch two lines so that they form complementary angles. Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 61 UNIT 2 Lines, Angles and Triangles Practice and Problem Solving: Modified MODULE 4 Lines and Angles LESSON 4-1 1. complementary angles Practice and Problem Solving: A/B 2. vertical angles 1. 180° JJJG 2. QR 3. supplementary angles; linear pair 3. 130° 5. 90° 4. 40° 6. 20° 5. 35 7. 40°; 140° 6. 100 8. 120° 7. 50° 9. 30° 4. right angle 10. Possible answer: 8. 130° 9. m∠DEF = 29°; m∠FEG = 61° 10. m∠DEF = 91°; m∠FEG = 89° 11. Possible answers: ∠1 and ∠3 or ∠2 and ∠4 11. Possible answer: 12. Possible answers: ∠1 and ∠2; ∠2 and ∠3; ∠3 and ∠4; or ∠1 and ∠4 13. right 14. 45°; 45° Practice and Problem Solving: C 1–3. Possible answer: Reading Strategies 1. complementary 2. vertical 3. supplementary 4. The measures of the vertical angles are equal. 4. linear, adjacent, or supplementary 5. a. ∠1 ≅ ∠2 6. complementary 5. adjacent b. m∠1 = m∠2 Success for English Learners c. ∠2 and ∠4 are compl. 1. complementary d. Given 2. 103.7° e. m∠2 + m∠4 = 90° f. Defn. Comp. ∠s LESSON 4-2 g. m∠1 + m∠3 = m∠2 + m∠4 Practice and Problem Solving: A/B 1. 47° 2. 119° 3. 97° Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 459